Answer:
In ΔECB ,
∠ECD = ∠EBC + ∠BEC (∵ Exterior Angle Property of a triangle)
⇒ ∠BEC = ∠ECD - ∠EBC ................. eqn.1
In ΔABC ,
∠ACD = ∠BAC + ∠ABC (∵ Exterior Angle Property of a triangle )
⇒ 2∠ECD = ∠BAC + 2∠EBC
⇒ ∠BAC = 2∠ECD - 2∠EBC = 2(∠ECD - ∠EBC)
( Putting eqn.1 here )
⇒ ∠BAC = 2∠BEC (∵∠BEC = ∠ECD - ∠EBC)
Answer:
=−8x2+35x
Step-by-step explanation:
multiply first
Answer:
6x + 14
Step-by-step explanation:
Area = side x side
Factor the quadratic:
2x^2 +10x / +1x +5
2x(x+5) 1 (x+5)
(2x + 1) (x+5)
^These are your two sides
Perimeter =2L + 2W
(2(2x+1)) + (2(x+5))
4x+4+2x+10 = final answer 6x + 14
House price = down payment + mortgage x number of months
430,000 = 250,000 + 2,000x where x is number of months
To find number or months solve for x
430,000 = 250,000 + 2,000x
Subtract 250,000
180,000 = 2,000x
Divide by 2,000
x = 90 months
12 months in one year
90 = 84 + 6 = 12 x 7 + 6
7 years and 6 months
Answer:
40
Step-by-step explanation:
Using the method of prime factors
8 = 2 × 2 × 2 = 2³
2 = 2
5 = 5
Then LCM = 2³ × 5 = 8 × 5 = 40
